New compact equation for numerical simulation of freak waves on deep water

A. I. Dyachenko, D. I. Kachulin, V. E. Zakharov

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)

Abstract

Considering surface gravity waves which propagate in same direction we applied canonical transformation to a water wave equation and drastically simplify the Hamiltonian. After this transformation, corresponding equation of motion is written in x-space in a compact form. This new equation is suitable for analytical studies and numerical simulations. Localized in space breather-type solution was found numerically by using iterative Petviashvili method. Numerical simulation of breathers collision shows the stability of such solutions. We observed the freak wave formation in numerical simulations of sea surface waving in the framework of new equation.

Original languageEnglish
Article number012028
JournalJournal of Physics: Conference Series
Volume681
Issue number1
DOIs
Publication statusPublished - 3 Feb 2016
Externally publishedYes
EventInternational Conference on Computer Simulation in Physics and Beyond 2015, CSP 2015 - Moscow, Russian Federation
Duration: 6 Sep 201510 Sep 2015

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